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Finding the Third Proportional to 253,428.75 and 354,308.25

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Solution

The third proportional to 253,428.75 and 354,308.25 is: 495,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,428.75 : 354,308.25 = 354,308.25 : x
  2. Step 2: Convert to fraction form
    253,428.75/354,308.25 = 354,308.25/x
  3. Step 3: Cross multiply
    253,428.75x = 354,308.25 × 354,308.25
  4. Step 4: Simplify right side
    253,428.75x = 125,534,336,018.06
  5. Step 5: Solve for x
    x = 125,534,336,018.06/253,428.75
  6. Step 6: Final answer
    x = 495,343.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.